SOLUTION: you have $4.50 of dimes and half dollars.number of half dollors is 12 less han four times the number of dimes.how many dimes and half dollors you have?

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: you have $4.50 of dimes and half dollars.number of half dollors is 12 less han four times the number of dimes.how many dimes and half dollors you have?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 979809: you have $4.50 of dimes and half dollars.number of half dollors is 12 less han four times the number of dimes.how many dimes and half dollors you have?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +d+ = number of dimes
Let +h+ = number of half dollars
given:
(1) +h+=+4d+-+12+
(2) +10d+%2B+50h+=+450+
-------------------------
(2) +d+%2B+5h+=+45+
(2) +d+=+-5h+%2B+45+
and
(1) +h+=+4d+-+12+
Substitute (2) into (1)
(1) +h+=+4%2A%28+-5h+%2B+45+%29+-+12+
(1) +h+=+-20h+%2B+180+-+12+
(1) +21h+=+168+
(1) +h+=+8+
and
(1) +h+=+4d+-+12+
(1) +8+=+4d+-+12+
(1) +4d+=+20+
(1) +d+=+5+
You have 5 dimes and 8 half dollars
----------------------------------
check:
(2) +10d+%2B+50h+=+450+
(2) +10%2A5+%2B+50%2A8+=+450+
(2) +50+%2B+400+=+450+
(2) +450+=+450+
OK